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Popular >

simplify ln(e^yy)

Solution

simplify

ln (e^{y} y)

Solution

y + ln (y)

Solution steps

ln (e^{y} y)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (e^{y} y) = ln (e^{y}) + ln (y)

= ln (e^{y}) + ln (y)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (e^{y}) = y ln (e)

= y ln (e) + ln (y)

y ln (e) = y

= y + ln (y)

Popular Examples

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ln (\frac{1}{4}) + 1

Frequently Asked Questions (FAQ)

What is ln(e^yy) ?
The solution to ln(e^yy) is y+ln(y)